SOLUTION: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the

Algebra ->  Algebra  -> Proportions  -> Lessons  -> Proportions -> SOLUTION: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the       Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 80782: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum.
Answer by vertciel(183) About Me  (Show Source):
You can put this solution on YOUR website!
Let's denote:
1 Chocolate bar = b
1 Pack of Gum = g
Now, let's express Sally's and Jake's purchases with these variables.
3b + g = 1.75 ----(1)
2b + 4g = 2.00 ---(2)
So now we have a system of two equations.
Do you know how to solve for variables in a system of equations? If you don't, please write back.